Are the injury rates for BJJ training and comp lower than most other martial arts and traditional ballistic sports?

Backstory:
We started a private club at an Elks Lodge here in Portland, OR and had to present to the board to get the free space to train. Years before us, dudes that were into stick fighting had poked some poor guy’s eye out and he sued Elks. So the board was skeptical of “martial arts.”

To start, here's some literature on the injury rates in BJJ versus other sports. I'd love to see what others dig up on this subject.

• Most injuries are fingers and hand or toes - >25% of all injuries and are minor - https://www.ncbi.nlm.nih.[...]MC5968975/
• Another huge source of injury are skin diseases
• If we remove minor injuries (general pain, jammed joints, bruises, skin injuries) the injury rate is 5.4/1000 hr - this is close to weight training or many other "safe" activities
• 42% of the injuries in jiu jitsu occur with new students/white belts. Another 32% of injuries occur with blue belts.
• Injury rate is less than wrestling, judo, or taekwondo - https://journals.sagepub.[...]20injuries.
• Competition is 9.2 injuries/1000 exposures - basketball has a training rate of 9.8 injuries/1000 exposures and up to 50.4 injuries/1000 - https://www.ncbi.nlm.nih.[...]MC3786241/ and https://journals.sagepub.[...]20injuries.